Simplify : (2/5)^3 x (2/5)^5 ÷ (2/5)^7
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Answer:
(2/5)^3 × (2/5)^ 5 ÷ (2/5)^7
= first is that 2/5 is common. so, take 2/5 common.
and we know that ( × = + )
( ÷ = - )
so, let's do it..
take 2/5 common = ( 2/5 )
and then solve the powers =
( 2/5 )^ ( 3 + 5 - 7 )
= ( 2/5 )^ { 3 + ( - 2) }
= ( 2/5 )^ ( 3 - 2 )
= ( 2/5 )^1
and we know that the number which have power 1 means the power change to 0.
( 2/5 )^ 0
= means, the answer is 0. { (2/5)^ 0 = 0 ) }
so this is your answer..
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